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Proof step 14 from proof refine-lookup (previous step)

jvalid ↔ key ∈ ri, err = err0, err = ESUCCESS, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, p_os.keys.inodes?, jro1.keys.inodes?, fi1.inos < pmaxino, ri.inos < jmaxino, p_os < pmaxino, jro1 < jmaxino, inv(gstore1), inv(gstore2 \ jro0), log-cons(abs-log(nx, gstore2 ↓), nodes(gstore2 ↓, jro0)), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range ri), ri-cons(ri, nodes(gstore2 ↓, jro0)), ri-inj(fi1), ri-inj(ri), pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, ri.lebs ⊆ dom gstore2, jvalid1 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0), jvalid4 → jvalid0, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪if jvalid then adr := ri[key] else adr := ?; nd := nd0; if err = ESUCCESS ∧ jvalid then let gnd = ? in {index_read_gnd#(adr, ri, fi1, jro0, gstore2, gstore1, nx, pmaxino, p_os, jvalid0; gnd; err); if err = ESUCCESS then nd := gnd.nd}⟫ ⟨aubifs_core_index_lookup#(key, ri, fi1, jro1.keys, p_os.keys, nodes(gstore2 ↓, jro0), abs-log(nx, gstore2 ↓), jvalid4; jvalid3, nd0; err1)⟩ ((jvalid4 → jvalid0) ∧ (jvalid ↔ jvalid3) ∧ nd = nd0 ∧ err = err1), jmaxino = 0, pmaxino = 0, dups(nx)

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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